Monotone circuits for matching require linear depth

  • Authors:
  • Ran Raz;Avi Wigderson

  • Affiliations:
  • -;-

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1992

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Abstract

It is proven that monotone circuits computing the perfect matching function on n-vertex graphs require &OHgr;(n) depth. This implies an exponential gap between the depth of monotone and nonmonotone circuits.